ON A DIRICHLET PROBLEM FOR THE PROPERLY ELLIPTIC DIFFERENTIAL EQUATION IN THE CONTINUOUS FUNCTIONS SPACE

Authors

A.H. BABAYAN National Polytechnic University of Armenia Author
T.M. AVANESYAN National Polytechnic University of Armenia Author

Keywords:

Dirichlet problem, properly elliptic equation, nontrivial solutions of homogeneous Dirichlet problem, continuous boundary values

Abstract

The Dirichlet problem in a unit disc for an order properly elliptic equation is considered. The solution should be found in the class of functions, continuous up to the boundary with derivatives of order . The conditions of the unique solvability of the problem are found and, in this case, the solution is determined in an explicit form.

Downloads

pdf

Published

13.03.2026

Issue

Section

Articles

Most read articles by the same author(s)

Similar Articles

H.S. SUKIASYAN, OPTIMIZATION OF MATRICES GENERATED BY TRIANGULATIONS AT NUMERICAL CALCULATION OF THE ELECTROMAGNETIC FIELD , Proceedings of Annual Conferences of NPUA: Vol. 1 (2022)
G.B. GRIGORYAN, A.ZH. KHACHATRYAN, A.E. MANUKYAN, H.R. AVETISYAN, A.I. SOGHOMONYAN, SIZE QUANTIZATION OF HOLES IN A THIN FILM , Proceedings of Annual Conferences of NPUA: Vol. 1 (2017)
S. M. BAKHSHAN, S.A. MKRTCHYAN, S.V. MAMYAN, SOLVING THE MARKETING LOGISTICS PROBLEM OF SULFUR SALES IN COPPER PRODUCTION , Proceedings of Annual Conferences of NPUA: Vol. 1 (2024)
P.H. BALJYAN, G.R. BABAYAN, V.P. BALJYAN, H.I. KARAPETYAN, THE BOUNDARY CONDITION FOR DETERMINING THE TOP POSITION SURFACE OF ACCUMULATED SEDIMENTS , Proceedings of Annual Conferences of NPUA: Vol. 2 (2019)
A.R. HOVHANNISYAN, Z.A. MINASYAN, AN INSTALLATION FOR INVESTIGATING THE MIXED FABRIC STRETCHING DEFORMATION , Proceedings of Annual Conferences of NPUA: Vol. 2 (2020)
S.G. MANTASHYAN, THE PROBLEM OF MANAGING THE LABOUR MOTIVATION IN MODERN ORGANIZATIONS , Proceedings of Annual Conferences of NPUA: Vol. 3 (2017)
S..SH. BALASANYAN , V.S. BALASANYAN , H.T. GEVORGYAN, AN APPROXIMATE SOLUTION OF THE PROBLEM OF COMPLEX COMPUTER SYSTEMS OPTIMAL REDUNDANCY , Proceedings of Annual Conferences of NPUA: Vol. 1 (2023)
G.L. PETROSYAN, N.G. HAKOBYAN, A SIMPLIFIED METHOD FOR DETERMINING THE STRESSES ON FREE SURFACES OF A CURVED WIDE STRIP , Proceedings of Annual Conferences of NPUA: Vol. 2 (2019)
S.H. SIMONYAN, A.A. AYVAZYAN, COMPARATIVE ANALYSIS OF THE METHODS FOR SOLVING SYLVESTER TYPE A(t)X(t)+X(t)B(t)=C(t)ONE-PARAMETRIC MATRIX EQUATIONS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2017)
H.S. SUKIASYAN, TRANSITION FROM A DIFFERENTIAL EQUATION TO FINITE SYSTEM OF EQUATIONS WITH A FINITE NUMBER OF UNKNOWNS USING THE EXAMPLE OF TWO-DIMENSIONAL ELECTROMAGNETIC FIELD , Proceedings of Annual Conferences of NPUA: Vol. 1 (2025)

Previous 11-20 of 198 Next

You may also start an advanced similarity search for this article.